Final Answer:
1) Next 3 terms: 42, 41, 40; Explicit: aₙ = 47 - n; Recursive: a₁ = 46, aₙ = aₙ₋₁ - 1
2) Next 3 terms: 243, 729, 2187; Explicit: aₙ = 3ⁿ; Recursive: a₁ = 3, aₙ = 3 × aₙ₋₁
3) Next 3 terms: -35, -59, -85; Explicit: aₙ = 47 - 12(n-1); Recursive: a₁ = 47, aₙ = aₙ₋₁ - 12
4) Next 3 terms: 20, 24, 28; Explicit: aₙ = 4n; Recursive: a₁ = 4, aₙ = aₙ₋₁ + 4
5) Next 3 terms: 27, 25, 23; Explicit: aₙ = 37 - 2n; Recursive: a₁ = 35, aₙ = aₙ₋₁ - 2
6) Next 3 terms: 128, 256, 512; Explicit: aₙ = 8 × 2ⁿ⁻¹; Recursive: a₁ = 8, aₙ = 2 × aₙ₋₁
7) First 4 terms: 2, 4, 8, 16
8) First 4 terms: 95, 94, 93, 92
9) First 4 terms: 0, -4, -8, -12
10) First 4 terms: -7, -13, -19, -25
11) First 4 terms: 49, 45, 41, 37
12) First 4 terms: 64, 62, 60, 58
Parent Tip: Review the logic above to help your child master the concept of sequences worksheet year 2.
